Topology

Topology of Art Chapter 7

"Topology is a field of study in mathematics and geometry, and it tells us that certain physical relationships–correlations–are the true character of physical form. These correlations, or spatial connections, are the actual essence of form, and the particular physical form (the object that we perceive) is a byproduct of the topological relationships. In my approach, this means that by physically applying the concept of topology to a visual image, it is possible to observe the relational characteristic of visual art, independent of academic art history."

"...digital technology relies on topological principles–in both the software that is used and in the hardware that is necessary for its function. Using these technical processes and computer technology to create digitally-based art is, literally, the practice of topology. These physical and conceptual practices are the components of the topological process in this project."

"The result of topological processing...produces a visual answer, but it also produces another question. It asks, “what is the essence of art and its process of development?” This shows that another understanding of art can coexist with academic art history–as a non-euclidian art history–and through this approach, the essentially topological character of art is exposed."


Koya Abe
Topology (Topology of Art Chapter 7)

Digital images output as archival ink jet prints.

  1  Study of Leonardo da Vinci (featured)
  2  Study of the Painters I
  3  Study of of the Painters II
  4  Study of Sequence III
  5  Study of Sequence I
  6  Study of Sequence II
  7  Study of Sequence IV
  8  Study of Sequence VI
  9  Study of Sequence VII
10  Study of Vermeer
11  Study of Caravaggio
12  Study of Delacroix
13  Study of Goya
14  Study of Self-Portrait I
15  Study of Self-Portrait II
16  Study of Self-Portrait III
17  Study of Light and Shadow III
18  Study of Light and Shadow II
19  Study of Self-Portrait IV
20  Study of Light and Shadow I
21  Study of Light and Shadow V
22  Study of the Card Players
23  Study of Light and Shadow IV
24  Study of L.H.O.O.Q. I
25  Study of L.H.O.O.Q. II
26  Study of L.H.O.O.Q. IV
27  Study of L.H.O.O.Q. III
28  Study of Still Life
29  Study of Music
30  Study of Still Life II
31  Study of Triangles I
32  Study of Triangles II
33  Study of Liquor
34  Study of Gaze
35  Study of Madame Ginoux
36  Study of the Sisters
37  Study of the Dutch School I
38  Study of the Dutch School II
39  Study of the Madonnas
40  Study of the Annunciation
41  Study of Light and Shadow VI
42  Study of Rembrandt
43  Study of the Spanish School
44  Study of Inspiration
45  Study of Portrait II
46  Study of Sequence V
47  Study of Self-Portrait V
48  Study of Portrait I
49  Study of Portrait III


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Artist's Statement

Topology

Art History, as a scholarly study of the development of art, is typically formulated through a linear and hierarchical model. This approach relies on a basic principle–the influence of earlier works and earlier artists as a chronological base. This is one way to see art.

In this project I took a different approach and I utilized the principles of topology as a conceptual foundation. Topology is a field of study in mathematics and geometry, and it tells us that certain physical relationships–correlations–are the true character of physical form. These correlations, or spatial connections, are the actual essence of form, and the particular physical form (the object that we perceive) is a byproduct of the topological relationships. In my approach, this means that by physically applying the concept of topology to a visual image, it is possible to observe the relational characteristic of visual art, independent of academic art history.

As a correlation to the conceptual approach, the technical process used for this project, to create digital artwork, is an important aspect. Essentially, digital technology relies on topological principles–in both the software that is used and in the hardware that is necessary for its function. Using these technical processes and computer technology to create digitally-based art is, literally, the practice of topology. These physical and conceptual practices are the components of the topological process in this project.

The result of topological processing for this project produces a visual answer, but it also produces another question. It asks, “what is the essence of art and its process of development?” This shows that another understanding of art can coexist with academic art history–as a non-euclidian art history–and through this approach, the essentially topological character of art is exposed.

Koya Abe
New York City, 2012